Results 51 to 60 of about 21,411 (263)
Weighted and restricted sum formulas of Euler sums
Research in Number TheoryOne of the most interesting formulas for multiple zeta values is the sum formula proved by Granville and Zagier independently in 1990s. Many variations and generalizations of it have been found since then. In this paper, we will provide a uniform approach to proving these results using the regularized double shuffle relations of Euler sums.
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Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
FEBS Letters, EarlyView.Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
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ON A WEIGHTED SUM OF MULTIPLE -VALUES OF FIXED WEIGHT AND DEPTH
Bulletin of the Australian Mathematical Society, 2021 AbstractThe multiple T-value, which is a variant of the multiple zeta value of level two, was introduced by Kaneko and Tsumura [‘Zeta functions connecting multiple zeta values and poly-Bernoulli numbers’, in: Various Aspects of Multiple Zeta Functions, Advanced Studies in Pure Mathematics, 84 (Mathematical Society of Japan, Tokyo, 2020), 181–204].
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Periodic Weighted Sums of Binomial Coefficients
, 2022 Currently under review.
Dresden, Greg, Li, Yike
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On Weighted Remainder Form of Hardy-Type Inequalities
, 2009 We use different approaches to study a generalization of a result of Levin and Stečkin concerning an inequality analogous to Hardy’s inequality.
Gao, Peng
core
Poincare inequalities and normal approximation for weighted sums
, 2020 Bobkov SG, Chistyakov G, Götze F. Poincare inequalities and normal approximation for weighted sums. Electronic Journal of Probability. 2020;25: 155.Under Poincare-type conditions, upper bounds are explored for the Kolmogorov distance between the ...
Chistyakov, Gennadiy +2 more
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FEBS Letters, EarlyView.Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura +2 more
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Sums of weight vectors and sums of semilinear functions
Aequationes Mathematicae, 1988 From authors' introduction: Our basic theorem is a general result in linear algebra, a set of equations describing the space where commuting operators \(\{\gamma_{\alpha}\}\) are disgonalizable with specified eigenvalues \(\phi_ 1(\gamma_ k),...,\phi_ n(\gamma_{\alpha}),... \).
Waterhouse, William C., Heuvers, K.J.
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Weighted Sum of Correlated Lognormals: Convolution Integral Solution
, 2011 Probability density function (pdf) for sum of n correlated lognormal variables is deducted as a special convolution integral. Pdf for weighted sums (where weights can be any real numbers) is also presented.
Nagy, Tamás
core
Hyperosmotic stress induces PARP1‐mediated HPF1‐dependent mono(ADP‐ribosyl)ation
FEBS Letters, EarlyView.Sorbitol‐induced hyperosmotic stress rapidly induces reversible mono(ADP‐ribosyl)ation (MARylation) on PARP1 without the signs of genotoxic signaling. We show that PARP1 autoMARylation is HPF1 dependent and forms hydroxylamine‐resistant O‐glycosidic linkages.
Anna Georgina Kopasz +11 more
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